There is some promising research with gene drives, which are essentially genes that when passed on to offspring, overwrite the other copy of the gene from the other parent.
It may be possible to introduce non disease spreading mosquitoes with gene drives into the wild and within an extremely short time all mosquitoes in the population would be non disease carrying.
Of course, this is something that you may not be able to reverse once done, so it’s a pretty drastic step to take after very intense scrutiny.
True, the issue of being bitten would not go away. Perhaps a gene that makes them not attracted to biting humans somehow, but that would be a lot harder to implement